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Finding the Fourth Proportional to 206,490.60, 309,735.90 and 198,617.40

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Solution

The fourth proportional to 206,490.60, 309,735.90 and 198,617.40 is: 297,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.60 : 309,735.90 = 198,617.40 : x
  2. Step 2: Convert to fraction form
    206,490.60/309,735.90 = 198,617.40/x
  3. Step 3: Cross multiply
    206,490.60x = 309,735.90 × 198,617.40
  4. Step 4: Simplify right side
    206,490.60x = 61,518,939,144.66
  5. Step 5: Solve for x
    x = 61,518,939,144.66/206,490.60
  6. Step 6: Final answer
    x = 297,926.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.